What are the solutions to the equation 1/2 x^2-1/4 x=0 ?

The solutions to the equation 1/2 x^2-1/4 x=0 are x= 1/2 ,x=0

Find the zeros of 1/2 x^2-1/4 x=0

The zeros of 1/2 x^2-1/4 x=0 are x= 1/2 ,x=0

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\frac{1}{2} x^{2} - \frac{1}{4} x = 0

x = \frac{1}{2}, x = 0

Decimal Notation

x = 0.5, x = 0

Solution steps

\frac{1}{2} x^{2} - \frac{1}{4} x = 0

Find Least Common Multiplier of

2, 4 : 4

Multiply by LCM=

4

\frac{1}{2} x^{2} \cdot 4 - \frac{1}{4} x \cdot 4 = 0 \cdot 4

Simplify

2 x^{2} - x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 2 \cdot 0}{2 \cdot 2}

(- 1)^{2} - 4 \cdot 2 \cdot 0 = 1

x_{1, 2} = \frac{- ( - 1 ) \pm 1}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 1 ) + 1}{2 \cdot 2}, x_{2} = \frac{- ( - 1 ) - 1}{2 \cdot 2}

x = \frac{- ( - 1 ) + 1}{2 \cdot 2} : \frac{1}{2}

x = \frac{- ( - 1 ) - 1}{2 \cdot 2} : 0

The solutions to the quadratic equation are:

x = \frac{1}{2}, x = 0

1 - (\frac{( 1 - 5 )}{2} x)^{2} - x^{2} = 0

- \frac{3}{2} x^{2} - 12 x + 54 = 0

- 3 x^{2} - 10 x + 16 = 0

8 x^{2} + 22 x + 15 = 0

- 16 t^{2} + 10 t + 6 = 0

What are the solutions to the equation 1/2 x^2-1/4 x=0 ?
The solutions to the equation 1/2 x^2-1/4 x=0 are x= 1/2 ,x=0
Find the zeros of 1/2 x^2-1/4 x=0
The zeros of 1/2 x^2-1/4 x=0 are x= 1/2 ,x=0